MULTISCALE ADAPTIVE ESTIMATION OF THE CONDUCTIVITY FIELD USING PUMP TEST DATA

An inverse problem is posed in terms of log-conductivities which are d ecomposed into macroscale deterministic and microscale stochastic comp onents. The macroscale and microscale conductivities conceptualize hie rarchical, scale-dependent aquifer parameters. A deterministic paramet er estimation scheme divides a flow domain into a limited number of ma croscale constant conductivity zones. A stochastic microscale paramete r estimation scheme is used to obtain fluctuations about the macroscal e averages in terms of geostatistical models. Both the macroscale and the microscale conductivities are estimated via maximum likelihood, ad joint-state methodologies. Monte Carlo-type approaches are used to exa mine the distribution of macroscale and microscale conductivity estima tes.